ELIZA

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288503 occurrences (No.86 in the rank) during 5 years in the PubMed. [no cache] 500 found

24) In this article we consider the latter issue by proposing a nonstandard local linear estimator for the concordance probability as a function of covariates.

--- ABSTRACT ---

PMID:24323067 DOI:10.1007/s10985-013-9286-0

2015 Lifetime data analysis

* Local linear estimation of concordance probability with application to covariate effects models on association for bivariate failure-time data.

- Bivariate survival analysis has wide applications. In the presence of covariates, most literature focuses on studying their effects on the marginal distributions. However covariates can also affect the association between the two variables. In this article we consider the latter issue by proposing a nonstandard local linear estimator for the concordance probability as a function of covariates. Under the Clayton copula, the conditional concordance probability has a simple one-to-one correspondence with the copula parameter for different data structures including those subject to independent or dependent censoring and dependent truncation. The proposed method can be used to study how covariates affect the Clayton association parameter without specifying marginal regression models. Asymptotic properties of the proposed estimators are derived and their finite-sample performances are examined via simulations. Finally, for illustration, we apply the proposed method to analyze a bone marrow transplant data set.

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(1)94 of	(10)7 with	(19)3 for	(28)2 leading
(2)74 null	(11)5 during	(20)3 has	(29)2 mutations
(3)53 and	(12)5 tests	(21)3 over	(30)2 on
(4)47 in	(13)5 that	(22)3 relationships	(31)2 or
(5)17 was	(14)4 among	(23)2 at	(32)2 physical
(6)12 as	(15)4 to	(24)2 but	(33)2 relationship
(7)12 is	(16)4 which	(25)2 can	(34)2 remains
(8)7 Index	(17)3 after	(26)2 could	(35)2 using
(9)7 were	(18)3 by	(27)2 grades

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--- WordNet output for function --- =>1.機能, 関数, 役割, 働き, 2.機能する, 作用する, 働く, 役目を果たす, 3.社交的会合, パーティー, 儀式 Overview of noun function The noun function has 7 senses (first 3 from tagged texts) 1. (43) function, mathematical function, single-valued function, map, mapping -- ((mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)) 2. (24) function, purpose, role, use -- (what something is used for; "the function of an auger is to bore holes"; "ballet is beautiful but what use is it?") 3. (7) function, office, part, role -- (the actions and activities assigned to or required or expected of a person or group; "the function of a teacher"; "the government must do its part"; "play its role") 4. function -- (a relation such that one thing is dependent on another; "height is a function of age"; "price is a function of supply and demand") 5. function -- (a formal or official social gathering or ceremony; "it was a black-tie function") 6. affair, occasion, social occasion, function, social function -- (a vaguely specified social event; "the party was quite an affair"; "an occasion arranged to honor the president"; "a seemingly endless round of social functions") 7. routine, subroutine, subprogram, procedure, function -- (a set sequence of steps, part of larger computer program) Overview of verb function The verb function has 3 senses (first 3 from tagged texts) 1. (9) function, work, operate, go, run -- (perform as expected when applied; "The washing machine won't go unless it's plugged in"; "Does this old car still run well?"; "This old radio doesn't work anymore") 2. (3) serve, function -- (serve a purpose, role, or function; "The tree stump serves as a table"; "The female students served as a control group"; "This table would serve very well"; "His freedom served him well"; "The table functions as a desk") 3. (1) officiate, function -- (perform duties attached to a particular office or place or function; "His wife officiated as his private secretary") --- WordNet end ---